Commuting matrices and Atiyah's Real K-theory
Research output: Contribution to journal › Journal article › Research › peer-review
We describe the C2-equivariant homotopy type of the space of commuting n-tuples in the stable unitary group in terms of Real K-theory. The result is used to give a complete calculation of the homotopy groups of the space of commuting n-tuples in the stable orthogonal group, as well as of the coefficient ring for commutative orthogonal K-theory.
Original language | English |
---|---|
Journal | Journal of Topology |
Volume | 12 |
Issue number | 3 |
Pages (from-to) | 833-854 |
ISSN | 1753-8416 |
DOIs | |
Publication status | Published - 2019 |
Links
- https://arxiv.org/pdf/1807.06864.pdf
Accepted author manuscript
ID: 211219237